------
## 最终结论
```python
def find_Nth_Digit(numerator, denominator, n):
    # Calculate the decimal value
    decimal_value = numerator / denominator
    
    # Convert to string to access decimal places
    decimal_str = str(decimal_value)
    
    # Find the position of the decimal point
    decimal_point_index = decimal_str.index('.')
    
    # Get the nth digit after the decimal point
    if decimal_point_index + n < len(decimal_str):
        return int(decimal_str[decimal_point_index + n])
    else:
        return None  # or raise an error if n is out of bounds

# Test cases
assert find_Nth_Digit(1, 2, 1) == 5
assert find_Nth_Digit(3, 5, 1) == 6
assert find_Nth_Digit(5, 6, 5) == 3
```